The number 38200
38200 is a composite number with 24 divisors. Its prime factorisation is × × 191. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 191, 200, 382, 764, 955 … 38200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38200 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 38200 itself that is 51080, so 38200 is abundant (51080 is more than 38200). Euler's totient φ(38200) = 15200 numbers up to 38200 share no factor with it.
- 4
The digits of 38200 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38200 = 2^{3} \times 5^{2} \times 191 \]38200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 15200 |
| Square | 1459240000 |
| Cube | 55742968000000 |
| Square root | 195.448203 (= 10√382) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.82 × |
38200 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred |
| Binary (base 2) | 1001010100111000 |
| Octal (base 8) | 112470 |
| Hexadecimal (base 16) | 9538 |
| Base 3 | 1221101211 |
| As time | 38200 seconds = 10 h 36 min 40 s |
Is 38200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38200 ÷ 2 = 19100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38200 ÷ 4 = 9550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38200 ÷ 5 = 7640) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (38200 ÷ 8 = 4775) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38200 ÷ 10 = 3820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38200 a prime number?
No. 38200 = × × 191, so it is divisible by 2.
What are the factors of 38200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 191, 200, 382, 764, 955, 1528, 1910, 3820, 4775, 7640, 9550, 19100, 38200.
What is 38200 in binary?
1001010100111000 (hexadecimal 9538, octal 112470).
What is the square root of 38200?
About 195.4482, exactly 10√382.
Is 38200 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 38200?
It is a composite number with 24 divisors.